Gravitational Field of Fractal Distribution of Particles

Details Gravitational Field of Fractal Distribution of Particles Gravitational Field of Fractal Distribution of Particles

2006-04-24

arxiv.org/abs/astro-ph/0604491v1

Celestial Mechanics and Dynamical Astronomy 94 (2006) 1-15

Astronomy and Astrophysics

Astrophysics

14 pages, LaTeX

Scientific paper

10.1007/s10569-005-1152-2

In this paper we consider the gravitational field of fractal distribution of particles. To describe fractal distribution, we use the fractional integrals. The fractional integrals are considered as approximations of integrals on fractals. Using the fractional generalization of the Gauss's law, we consider the simple examples of the fields of homogeneous fractal distribution. The examples of gravitational moments for fractal distribution are considered.

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